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A Forward Model of Mantle Convection with Evolving Continents and a Model of the Andean Subduction Orogen

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High Performance Computing in Science and Engineering ‘12

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Abstract

Some essential features of Andean orogenesis cannot be explained only by a dynamic regional model since there are essential influences across its vertical boundaries. A dynamic regional model of the Andes should be embedded in a 3-D spherical-shell model. Because of the energy distribution on the poloidal and toroidal parts of the creep velocity and because of geologically determined mass transport alongside the Andes, both models have to be three-dimensional. Furthermore, we developed a new viscosity profile of the mantle with very steep gradients at the lithospheric-asthenospheric boundary and at a depth of 410 and 660 km. Therefore, the challenges to the code Terra are now essentially larger. In the last 3 years we have resolved these problems in an international cooperation (see Sect. 2.2). Based on the new viscosity profile and on an improved Terra, we computed a new forward spherical-shell model (Walzer and Hendel, J Geophys Res submitted, 2012b). For this model, we derived also a new extended acoustic Grüneisen parameter, γ ax , new profiles of the thermal expansivity, α, and of the specific heat, c v , at constant volume as well as a solidus depending on both the pressure and the water abundance. These innovations are essential to incorporate a chemical-differentiation mechanism into the model. We arrived at rather realistic episodes of continental growth interrupted by magmatically quiet time spans distributed over the whole time axis. Nevertheless, the model shows a main magmatic event at the very beginning of the Earth’s evolution. Papers on the improvement of Terra (Köstler et al. Comput Geosci submitted, 2012; Müller and Köstler, Int J Numer Methods Eng submitted, 2012)have been written. We conceived a regional model of the Andean Sect. 3.2.1) with the same new viscosity profile. We want to investigate why there is flat-slab subduction in some segments of the Andes and why deformation of the crust and volcanism migrate eastward. The evolution of the abundances of incompatible elements indicate a cycle which was finished by a fast process, perhaps by a large-scale delamination of the lower plate, perhaps also by another type of delamination. In connection with another spherical-shell model (with prescribed plate boundaries), the regional model should numerically explain why a plateau-type orogen evolved at an oceanic-continental plate boundary.

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Acknowledgements

We gratefully acknowledge the stimulating discussions with J. Baumgardner, H.-P. Bunge, P. Bollada, H. Davies, R. Davies and M. Mohr in the group of Terra developers. We thank the Steinbuch Center for Computing, Karlsruhe, for the supply of computational time under grant sphshell. This work was partly supported by the Deutsche Forschungsgemeinschaft under grant KL 495/16-1.

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  1. Institut für Geowissenschaften, Friedrich-Schiller-Universität, Humboldtstr. 11, 07743, Jena, Germany

    Uwe Walzer, Roland Hendel, Christoph Köstler, Markus Müller, Jonas Kley & Lothar Viereck-Götte

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  1. Uwe Walzer
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  2. Roland Hendel
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  6. Lothar Viereck-Götte
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Correspondence to Uwe Walzer .

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  1. Zentrum für Informationsdienste, und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Helmholtzstr. 10, Dresden, 01069, Germany

    Wolfgang E. Nagel

  2. , Abteilung für Angewandte Mathematik, Universität Freiburg, Hermann-Herder Str. 10, Freiburg, 79104, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum, Stuttgart (HLRS), Universität Stuttgart, Nobelstr. 19, Stuttgart, 70569, Germany

    Michael M. Resch

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Walzer, U., Hendel, R., Köstler, C., Müller, M., Kley, J., Viereck-Götte, L. (2013). A Forward Model of Mantle Convection with Evolving Continents and a Model of the Andean Subduction Orogen. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33374-3_35

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